Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains
Keyword(s):
This paper is largely a review. It considers two main methods used to study stability and to obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Markov chains with continuous time and a finite or countable state space. An approach is described to the construction of perturbation estimates for the main five classes of such chains associated with queuing models. Several specific models are considered for which the limit characteristics and perturbation bounds for admissible “perturbed” processes are calculated.
2002 ◽
Vol 39
(4)
◽
pp. 901-904
◽
Keyword(s):
1989 ◽
Vol 26
(03)
◽
pp. 643-648
◽
2002 ◽
Vol 39
(04)
◽
pp. 901-904
◽
Keyword(s):
2002 ◽
Vol 39
(01)
◽
pp. 197-212
◽
2002 ◽
Vol 39
(1)
◽
pp. 197-212
◽
2014 ◽
Vol 88
◽
pp. 66-72
◽
2017 ◽
Vol 32
(4)
◽
pp. 626-639
◽
Keyword(s):
2003 ◽
Vol 40
(04)
◽
pp. 970-979
◽
2004 ◽
Vol 41
(4)
◽
pp. 1219-1222
◽